Home
Class 12
MATHS
(x^3sin(tan^(- 1)x^4))/(1+x^8)...

`(x^3sin(tan^(- 1)x^4))/(1+x^8)`

Text Solution

AI Generated Solution

To solve the integral \[ I = \int \frac{x^3 \sin(\tan^{-1}(x^4))}{1 + x^8} \, dx, \] we will use substitution and integration techniques. ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.3|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.4|25 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.1|22 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

Evaluate: (i) cot(sin^(-1)(3/4)+sec^(-1)(4/3)) (ii) sin(tan^(-1)x+tan^(-1)(1/x)) for x<0

Solve 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(1-x^2))=pi/3

Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+cot^(-1)x)^3)=7

show that tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/sqrt3

Prove that tan^(-1)x+tan^(-1)(2x)/(1-x^2)=tan^(-1)((3x-x^3)/(1-3x^2)),|x|<1/(sqrt(3))

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

The value of the integral - int_(1/4)^(3/4)((pi)/(2)+sin^(-1)x)/(2cos^(-1)x+3sin^(-1)x+sin^(-1)(1-x)) dx is -

Find the value of x which satisfy equation 2 tan^(-1) 2x = sin^(-1).(4x)/(1 + 4x^(2))

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4tan^(-1)x (b) 0 (c) pi/2 (d) pi